Examinando por Autor "Karol I. Santoro"

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  • Miniatura
    Ítem
    A New Generalization of the Truncated Gumbel Distributionwith Quantile Regression and Applications
    (2024) Héctor J. Gómez; Karol I. Santoro; Diego Ayma; Isaac E. Cortés; Isaac E. Cortés; Tiago M. Magalhães
    In this article, we introduce a new model with positive support. This model is an extension of the truncated Gumbel distribution, where a shape parameter is incorporated that provides greater flexibility to the new model. The model is parameterized in terms of the p-thquantile of the distribution to perform quantile regression in this model. An extensive simulation study demonstrates the good performance of the maximum likelihood estimators in finite samples. Finally, two applications to real datasets related to the level of beta-carotene and body mass index are presented.
  • Miniatura
    Ítem
    Unit-Power Half-Normal Distribution Including QuantileRegression with Applications to Medical Data
    (2024) Karol I. Santoro; Yolanda M. Gómez; Darlin Soto; Inmaculada Barranco Chamorro
    In this paper, we present the unit-power half-normal distribution, derived from the power half-normal distribution, for data analysis in the open unit interval. The statistical properties of the unit-power half-normal model are described in detail. Simulation studies are carried out to evaluate the performance of the parameter estimators. Additionally, we implement the quantile regression for this model, which is applied to two real healthcare data sets. Our findings suggest that the unitpower half-normal distribution provides a robust and flexible alternative for existing models for proportion data